Probability Worksheets 8th Grade Math

Probability can be a tricky concept to master, but with the right practice, it becomes much easier to understand. That's why 8th-grade math students can benefit from utilizing well-designed probability worksheets. These worksheets provide opportunities to explore and practice various aspects of probability, allowing students to strengthen their understanding of this mathematical entity. From calculating simple probabilities to solving more complex probability problems, these worksheets serve as excellent tools for honing students' skills in the subject.

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What is the probability of rolling a number less than 3 on a standard six-sided die?

The probability of rolling a number less than 3 on a standard six-sided die is 2/6 or 1/3, because there are two sides that have numbers less than 3 (1 and 2) out of a total of six possible outcomes.

If there are 5 red marbles, 3 blue marbles, and 2 green marbles in a bag, what is the probability of selecting a blue marble?

The probability of selecting a blue marble from the bag would be 3 out of the total number of marbles, which is 10. Therefore, the probability of drawing a blue marble is 3/10 or 0.3.

A standard deck of playing cards contains 52 cards. What is the probability of drawing a face card (jack, queen, or king)?

There are 12 face cards in a standard deck (4 jacks, 4 queens, and 4 kings). The probability of drawing a face card is therefore \( \frac{12}{52} = \frac{3}{13} \), or approximately 0.231 or 23.1%.

In a bag of 20 marbles, 6 are yellow and the rest are red. What is the probability of selecting a yellow marble?

The probability of selecting a yellow marble is 6 out of 20, which simplifies to 3 out of 10, or 0.3, meaning there is a 30% chance of selecting a yellow marble from the bag of 20 marbles.

A spinner has 8 equal sections labeled 1-8. What is the probability of landing on a multiple of 3?

Since there are 8 equal sections on the spinner and multiples of 3 in that range are 3 and 6, which corresponds to 2 out of the 8 sections, the probability of landing on a multiple of 3 is 2/8 or 1/4.

A jar contains 30 jelly beans, 12 of which are red. If two jelly beans are randomly selected without replacement, what is the probability that both are red?

The probability of selecting the first red jelly bean is 12/30, or 2/5. After removing one red jelly bean, there are now 29 jelly beans left, with 11 red jelly beans remaining. So, the probability of selecting a second red jelly bean is 11/29. Therefore, the overall probability of selecting two red jelly beans without replacement is (2/5) * (11/29) = 22/145, which is approximately 0.152 or 15.2%.

A software company has 30 employees, 18 of whom are programmers. If an employee is selected at random, what is the probability that they are not a programmer?

The probability that an employee selected at random is not a programmer can be found by calculating the complement of the probability of selecting a programmer. Since there are 18 programmers out of 30 employees, the probability of selecting a programmer is 18/30, which simplifies to 3/5. Therefore, the probability of selecting an employee who is not a programmer is 1 - 3/5, which equals 2/5 or 0.4 (40%).

A bag contains 12 black marbles, 7 white marbles, and 5 blue marbles. What is the probability of selecting a white or blue marble?

The probability of selecting a white or blue marble from the bag can be calculated by adding the number of white marbles and blue marbles and dividing by the total number of marbles in the bag. So, the probability would be (7 + 5) / (12 + 7 + 5) = 12 / 24 = 1/2 or 0.5, which is 50%.

A family has 3 children. What is the probability that they are all boys?

The probability of having all boys in a family with 3 children is 1/8, as there are 8 possible combinations of children (BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG) and only 1 combination consists of all boys (BBB).

A box contains 8 red socks and 4 blue socks. If two socks are drawn at random without replacement, what is the probability that they are both red?

The probability of drawing a red sock on the first draw is 8/12, and for the second draw, given that a red sock was already picked, the probability becomes 7/11. Therefore, the probability of drawing two red socks in succession is (8/12) * (7/11) = 56/132 or 7/33. Thus, the probability that both socks drawn are red is 7/33.